3 papers
math.AP2026
The lifespan of positive solutions of heat equation with power-logarithmic nonlinearity on locally finite graph
Pengxiu Yu, Yiping Zhang
On a locally finite connected graph , using the first eigenvalue method introduced by Kaplan \cite{MR160044} and the discrete Phragmén-Lindelöf principle developed by Hu…
math.AP2025
Decay Properties of Invariant Measure and Application to Elliptic Homogenization of Non-divergence Form with an Interface
Pengxiu Yu, Yiping Zhang
Using the self-contained PDE analysis, this paper investigates the existence and the decay properties of the invariant measure in elliptic homogenization of non-divergence form wit…
math.AP2024
Large-scale boundary estimates of parabolic homogenization over rough boundaries
Pengxiu Yu, Yiping Zhang
In this paper, for a family of second-order parabolic system or equation with rapidly oscillating and time-dependent periodic coefficients over rough boundaries, we obtain the larg…